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Finding the Fourth Proportional to 177,591.34, 245,075.88 and 102,139.84

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Solution

The fourth proportional to 177,591.34, 245,075.88 and 102,139.84 is: 140,952.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,591.34 : 245,075.88 = 102,139.84 : x
  2. Step 2: Convert to fraction form
    177,591.34/245,075.88 = 102,139.84/x
  3. Step 3: Cross multiply
    177,591.34x = 245,075.88 × 102,139.84
  4. Step 4: Simplify right side
    177,591.34x = 25,032,011,171.06
  5. Step 5: Solve for x
    x = 25,032,011,171.06/177,591.34
  6. Step 6: Final answer
    x = 140,952.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.